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Finding the Fourth Proportional to 6,464.06, 9,697.23 and 3,343.22

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Solution

The fourth proportional to 6,464.06, 9,697.23 and 3,343.22 is: 5,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.06 : 9,697.23 = 3,343.22 : x
  2. Step 2: Convert to fraction form
    6,464.06/9,697.23 = 3,343.22/x
  3. Step 3: Cross multiply
    6,464.06x = 9,697.23 × 3,343.22
  4. Step 4: Simplify right side
    6,464.06x = 32,419,973.28
  5. Step 5: Solve for x
    x = 32,419,973.28/6,464.06
  6. Step 6: Final answer
    x = 5,015.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.